A Red C poll published in Sunday's Business Post indicates a rise in support for Fine Gael.
According to RTE, the poll, which was carried out between Monday and Wednesday of last week, also indicates that the Labour Party "could be vulnerable to further erosion."
Fine Gael gained two points to 34%; Fianna Fáil gained one to 19%, while Labour dropped one to 13%.
Sinn Féin and Independents and others dropped one point to 17%.
When questioned about the state of Ireland under the coalition, 41% said it was heading in the right direction, while 50% say it is on the wrong track. 9% did not know.
The poll also asked how strongly committed supporters of the two coalition parties are.
39% of Fine Gael voters are loyal, while 46% said they are becoming disillusioned. 15% are losing faith in the party.
However, only 14% of Labour voters are loyal, with 52% becoming disillusioned, and 34% saying they are losing faith.